面向地震烈度仪的现地地震动预测模型的构建与验证

彭朝勇, 郑钰, 徐志强, 姜旭东, 杨建思

彭朝勇,郑钰,徐志强,姜旭东,杨建思. 2021. 面向地震烈度仪的现地地震动预测模型的构建与验证. 地震学报,43(5):643−655. DOI: 10.11939/jass.20210075
引用本文: 彭朝勇,郑钰,徐志强,姜旭东,杨建思. 2021. 面向地震烈度仪的现地地震动预测模型的构建与验证. 地震学报,43(5):643−655. DOI: 10.11939/jass.20210075
Peng C Y,Zheng Y,Xu Z Q,Jiang X D,Yang J S. 2021. Construction and verification of onsite ground motion prediction models for seismic intensity instrument. Acta Seismologica Sinica43(5):643−655. DOI: 10.11939/jass.20210075
Citation: Peng C Y,Zheng Y,Xu Z Q,Jiang X D,Yang J S. 2021. Construction and verification of onsite ground motion prediction models for seismic intensity instrument. Acta Seismologica Sinica43(5):643−655. DOI: 10.11939/jass.20210075

面向地震烈度仪的现地地震动预测模型的构建与验证

基金项目: 国家重点研发计划(2018YFC1503904)、中国地震局地球物理研究所基本科研业务专项(DQJB20B17,DQJB20R14)和北京市自然科学基金(8202051)联合资助
详细信息
    通讯作者:

    彭朝勇: e-mail:pengchaoyong@cea-igp.ac.cn

  • 中图分类号: P315.9

Construction and verification of onsite ground motion prediction models for seismic intensity instrument

  • 摘要: 利用初期P波预警参数构建现地地震动预测模型,使其在达到设定阈值时快速发出报警信息,是现地地震预警系统面临的一个关键问题,直接关系到发布信息的准确性和及时性。针对地震烈度仪基于微机电系统传感器记录到的数据质量较差,通过两次积分获取的位移存在较大偏差,会引起更多的误报和漏报,本文采用不同阶数(1—4阶)的巴特沃斯滤波器,分别构建了基于P波3 s和全P波段数据的位移幅值PD、速度幅值PV和加速度幅值PA与地震动峰值速度PGV和峰值加速度PGA的现地地震动预测模型,然后利用收集到的川滇示范预警网地震事件记录进行验证。结果表明,对于地震烈度仪微机电系统传感器的记录,采用1阶巴特沃斯滤波器处理、基于全P波段波形拟合获取到的PV与PGV的相关性和PA与PGA的相关性为两种最优现地地震动预测模型。具体应用时,应同时利用两种或两种以上的统计关系进行现地地震动预测,并将实际地震动观测值作为额外的判定条件,以降低误报率和漏报率。
    Abstract: Using the initial P-wave early warning parameters to construct onsite ground motion prediction models, so as to quickly release an alarm message when it reaches the predefined threshold, is a key issue of the onsite earthquake early warning system, which is directly related to the accuracy and timeliness of the early warning information. For micro-electro-mechanical-systems-based seismic intensity instrument with poor data quality, the obtained displacement record after two integrations has a large deviation, which will lead to more false and missed alarms. Therefore, for waveforms recorded by seismic intensity instrument, in this paper, we adopted Butterworth filters of different orders (1−4) to build up several onsite ground motion prediction models based on the P-wave 3 seconds data and the whole P-wave window. These models are the relationships between displacement amplitude PD and peak ground velocity PGV, PD and peak ground acceleration PGA, velocity amplitude PV and PGV, PV and PGA, acceleration amplitude PA and PGV, PA and PGA, respectively. The models are then verified using the collected micro-electro-mechanical-systems-based seismic event records from the Sichuan-Yunnan Demonstration Early Warning Network. The results show that for the seismic intensity instrument records, the two optimal onsite ground motion prediction models are the relationship between PV and PGV and the one between PA and PGA obtained by the first-order Butterworth filter processing and derived from the whole P-wave window. In specific applications, two or more statistical relationships should be simultaneously adopted to predict onsite ground motion, and observed ground motion values should be used as additional judgment conditions to reduce the probability of false and missed alarms.
  • 图  1   本研究所用震例分布

    (a) 各震级地震分布;(b) 所用地震记录的震源距−震级分布,青色菱形为我国4.0≤MS≤8.0地震事件记录,红色三角形为日本6.5≤MJ≤8.0地震事件记录;(c) 不同震级范围台站记录数−震源距分布

    Figure  1.   Distribution of earthquakes used in this study

    (a) Distribution of the number of events with magnitude;(b) Distribution of hypocentral distance versus magnitude for the selected earthquake records,the cyan diamonds represent earthquake the records (4.0≤MS≤8.0) from China database,while the red triangles indicate the selected waveform data (6.5≤MJ≤8.0) from Japan database;(c) Histogram of the hypocentral distance of the records with different magnitude ranges

    图  2   最优相关性前四名对应的拟合曲线

    (a) PVall与PGV;(b) PAall与PGA;(c) PAall与PGV;(d) PDall与PGV

    Figure  2.   Fitting curves for the top four best correlations

    (a) PVall and PGV;(b) PAall and PGA;(c) PDall and PGV;(d) PAall and PGV

    表  1   位移幅值PD与地震动峰值参数PGV和PGA的相关性

    Table  1   Correlation between displacement amplitude PD and peak ground motion parameters PGV and PGA

    参数滤波器阶数系数A系数B标准差相关系数R
    PD3与PGV10.673 21.392 00.373 40.794 6
    20.677 61.448 10.367 80.801 5
    30.679 51.491 40.368 50.802 6
    40.678 21.545 40.363 50.806 7
    PDall与PGV10.610 61.063 50.362 50.807 9
    20.624 81.162 50.339 90.833 5
    30.614 61.212 10.328 30.845 7
    40.603 81.235 50.325 90.848 1
    PD3与PGA10.501 32.472 10.343 60.727 1
    20.503 22.511 80.341 30.731 5
    30.503 42.550 20.340 00.733 8
    40.501 72.580 80.340 30.733 4
    PDall与PGA10.424 42.194 60.362 30.690 0
    20.438 02.268 00.348 40.718 0
    30.431 82.304 10.342 00.730 2
    40.423 12.319 00.341 90.730 4
    下载: 导出CSV

    表  2   速度幅值PV与地震动峰值参数PGV和PGA相关性

    Table  2   Correlation between velocity amplitude PV and peak ground motion parameter PGV and PGA

    参数滤波器阶数系数A系数B标准差相关系数R
    PV3与PGV10.805 40.983 90.415 20.737 8
    20.788 60.977 60.421 60.725 0
    30.760 10.961 90.432 60.711 0
    40.766 80.973 60.430 60.714 1
    PVall与PGV10.947 70.885 60.277 90.892 1
    20.943 30.889 30.279 70.890 6
    30.924 80.886 60.292 90.879 4
    40.942 60.905 30.281 90.888 8
    PV3与PGA10.652 92.206 80.339 40.735 0
    20.638 22.201 00.345 10.724 2
    30.615 62.188 60.353 60.707 7
    40.621 02.198 00.352 10.710 7
    PVall与PGA10.714 92.099 80.281 40.827 0
    20.709 42.101 50.284 20.823 1
    30.694 42.098 90.292 40.811 6
    40.707 22.112 60.286 80.819 5
    下载: 导出CSV

    表  3   加速度幅值PA与地震动峰值参数PGV和PGA相关性

    Table  3   Correlation between acceleration amplitude PA and peak ground motion parameter PGV and PGA

    相关性滤波器阶数系数A系数B标准差相关系数R
    PA3与PGV10.642 1−0.109 80.512 80.552 3
    20.664 0−0.096 20.503 90.573 6
    30.657 5−0.074 00.503 00.575 7
    40.676 0−0.074 80.497 00.589 1
    PAall与PGV10.995 3−0.582 20.359 50.811 5
    21.008 2−0.548 70.334 30.828 6
    30.988 3−0.504 90.348 30.824 3
    41.007 4−0.504 60.335 70.837 9
    PA3与PGA10.620 91.240 50.377 60.656 3
    20.624 81.266 50.374 50.663 4
    30.609 31.294 30.377 90.655 7
    40.619 71.298 30.374 40.663 7
    PAall与PGA10.848 60.896 00.263 40.850 3
    20.842 70.940 60.262 70.851 2
    30.816 90.985 50.273 60.837 4
    40.826 40.991 50.267 90.844 7
    下载: 导出CSV

    表  4   各参数的最优相关性

    Table  4   Optimal correlations between parameters

    参数滤波器阶数系数A系数B标准差相关系数R
    PVall与PGV10.947 70.885 60.277 90.892 1
    PAall与PGA10.848 60.896 00.263 40.850 3
    PDall与PGV40.603 81.235 50.325 90.848 1
    PAall与PGV41.007 4−0.504 60.335 70.837 9
    PVall与PGA10.714 92.099 80.281 40.827 0
    PD3与PGA30.503 42.550 20.340 00.733 8
    下载: 导出CSV

    表  5   本研究选取的MEMS传感器记录的地震事件测试用例

    Table  5   MEMS seismic event test cases selected in this study

    发震时刻
     年-月-日 时:分:秒
    东经/º北纬/º震源深度/kmMGL-P2B记录数
    2017-01-04 23:14:2929.536102.154234.48
    2017-01-18 22:35:1428.134104.710104.71
    2017-03-12 20:21:1827.072103.421125.141
    2017-03-30 07:48:1827.120103.35674.17
    2017-04-04 04:57:4027.093103.41183.86
    2017-05-04 13:40:2128.234104.922215.12
    2017-07-02 03:40:5827.081103.24473.715
    2017-10-18 02:54:2128.326102.815153.833
    2018-02-27 03:00:5329.403102.131183.812
    2018-05-02 04:28:4528.502102.704143.830
    2018-05-08 23:11:3328.140103.478104.537
    2018-05-16 16:44:0329.201102.265113.933
    2018-05-16 16:46:1129.190102.262124.654
    2018-05-16 16:46:4029.180102.27094.951
    2018-05-18 02:40:2927.413103.95843.63
    2018-08-11 14:11:3128.623103.31794.132
    2018-08-18 01:36:3827.400103.984104.25
    2018-10-28 08:25:1628.074103.53863.611
    2018-10-30 05:00:0528.105103.529114.321
    2018-10-31 16:29:5627.700102.080195.128
    2018-11-19 22:29:5129.484104.499113.316
    2018-11-20 06:01:1127.697102.092183.925
    2018-12-23 22:22:4028.116103.588103.715
    2019-05-16 04:33:3128.070103.530104.765
    下载: 导出CSV

    表  6   1阶巴特沃斯滤波器带通滤波后数据的测试结果

    Table  6   Test results with data filtered by the first-order Butterworth bandpass filter

    类别GL-P2B记录数占总记录数的百分比
    成功不预警 478 86.75%
    成功预警 40 7.26%
    漏报 14 2.54%
    误报 19 3.45%
    下载: 导出CSV

    表  7   成功预警测试震例(1阶巴特沃斯带通滤波处理)理论预警发布时间

    Table  7   Theoretical warning release time list for successful early warning test earthquake cases with data filtered by the first-order Butterworth bandpass filter

    理论预警发布时间/sGL-P2B记录数占总记录数的百分比
    0.52870.0%
    1.0512.5%
    1.5512.5%
    2.512.5%
    4.012.5%
    下载: 导出CSV

    表  8   成功预警测试震例(1阶巴特沃斯带通滤波处理)理论预警时间

    Table  8   Theoretical lead-time list for successful early warning test earthquake cases with data filtered by the first-order Butterworth bandpass filter

    理论预警时间/sGL-P2B记录数占总记录数的百分比
    <0.037.5%
    (0.0,1.0]1127.5%
    (1.0,2.0]922.5%
    (2.0,5.0]1332.5%
    >5.0410.0%
    下载: 导出CSV

    表  9   经1—4阶巴特沃斯滤波器带通滤波后数据测试结果

    Table  9   Test results of the data filtered by 1st-to-4th-order Butterworth bandpass filter

    滤波器阶数成功不预警占比成功预警占比漏报占比误报占比成功处理占比成功处理(含漏报)占比
    186.75%7.26%2.54%3.45%94.01%96.55%
    286.75%7.08%2.72%3.45%93.83%96.55%
    386.75%6.72%3.09%3.45%93.47%96.56%
    486.57%6.53%3.27%3.63%93.10%96.37%
    下载: 导出CSV
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  • 收稿日期:  2021-05-18
  • 修回日期:  2021-07-14
  • 网络出版日期:  2021-09-08
  • 发布日期:  2021-09-29

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